1135307264 has 180 divisors, whose sum is σ = 2890709514. Its totient is φ = 441520128.

The previous prime is 1135307227. The next prime is 1135307273. The reversal of 1135307264 is 4627035311.

It can be written as a sum of positive squares in only one way, i.e., 1091641600 + 43665664 = 33040^2 + 6608^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1135307264.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19242467 + ... + 19242525.

Almost surely, 2^1135307264 is an apocalyptic number.

1135307264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445354757).

1135307264 is an abundant number, since it is smaller than the sum of its proper divisors (1755402250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1135307264 is an frugal number, since it uses more digits than its factorization.

1135307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1135307264 is about 33694.3209458211. The cubic root of 1135307264 is about 1043.2085525037.

The spelling of 1135307264 in words is "one billion, one hundred thirty-five million, three hundred seven thousand, two hundred sixty-four".